We explore novel examples of RG flows preserving a non-invertible self-duality symmetry. Our main focus is on N=1 quadratic superpotential deformations of 4d N=4 super-Yang-Mills theory with gauge algebra su(N). A theory that can be obtained in this way is the so-called N=1* SYM where all adjoint chiral multiplets have a mass. Such IR theory exhibits a rich structure of vacua which we thoroughly examine. Our analysis elucidates the physics of spontaneous breaking of self-duality symmetry occurring in the degenerate gapped vacua. The construction can be generalized, taking as UV starting point a theory of class S, to demonstrate how non-invertible self-duality symmetries exist in a variety of N=1 SCFTs. We finally apply this understanding to prove that the conifold theory has a non-invertible self-duality symmetry.

Non-invertible symmetries along 4d RG flows / Damia, Jeremias Aguilera; Argurio, Riccardo; Benini, Francesco; Benvenuti, Sergio; Copetti, Christian; Tizzano, Luigi. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2024:2(2024), pp. 1-52. [10.1007/jhep02(2024)084]

Non-invertible symmetries along 4d RG flows

Damia, Jeremias Aguilera;Argurio, Riccardo;Benini, Francesco;Benvenuti, Sergio
;
Copetti, Christian;Tizzano, Luigi
2024-01-01

Abstract

We explore novel examples of RG flows preserving a non-invertible self-duality symmetry. Our main focus is on N=1 quadratic superpotential deformations of 4d N=4 super-Yang-Mills theory with gauge algebra su(N). A theory that can be obtained in this way is the so-called N=1* SYM where all adjoint chiral multiplets have a mass. Such IR theory exhibits a rich structure of vacua which we thoroughly examine. Our analysis elucidates the physics of spontaneous breaking of self-duality symmetry occurring in the degenerate gapped vacua. The construction can be generalized, taking as UV starting point a theory of class S, to demonstrate how non-invertible self-duality symmetries exist in a variety of N=1 SCFTs. We finally apply this understanding to prove that the conifold theory has a non-invertible self-duality symmetry.
2024
2024
2
1
52
084
10.1007/jhep02(2024)084
https://arxiv.org/abs/2305.17084
Damia, Jeremias Aguilera; Argurio, Riccardo; Benini, Francesco; Benvenuti, Sergio; Copetti, Christian; Tizzano, Luigi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/137230
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